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devlian [24]
3 years ago
3

Tyler says that the function f(x)=5^x is exponential and so it grows by equal factors over equal intervals. He says that factor

must be 10root of 5 for an interval of 1/10 because ten of those intervals makes an interval of length 1. Do you agree with Tyler? Explain your reasoning.
Mathematics
1 answer:
Korolek [52]3 years ago
8 0

Answer:

<em>Tyler is right. I agree with him</em>

Step-by-step explanation:

<u>Exponential Function</u>

The given exponential function is

f(x)=5^x

Tyler says it grows by equal factors over equal intervals which is true. We'll show why below.

If x grows by 1 unit, the growth of the function will be

f(x+1)=5^{x+1}=5\cdot 5^{x}

Note that the function grew by a factor of 5, as Tyler said. But what happens if x grows by 1/10?

f(x+1/10)=5^{x+1/10}=5^{1/10}\cdot 5^{x}

Note that the factor for this increment of x is

5^{1/10}=\sqrt[10]{5}

We can see that Tyler is absolutely right

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The scale model of a skyscraper being built is 4.2 feet tall. When it is finished, the skyscraper will be 525 meters tall. What
luda_lava [24]
There are two scales that may be possible for this scale model; one where it's for every foot and one where it's for every meter.
The for every foot would be better to find out since the scale would be easier to use.
First, you have to divide each sided by 4.2, since you want to find how many meters for each foot.
4.2 \div 4.2 = 1 \\ 525 \div 4.2 = 125
For every 1 foot used in the model, the actual will be 125 meters.
1 ft = 125 m
8 0
3 years ago
A retired math teacher takes his shopping. he tells nephew that they can spend x dollars and 14x=931 . What operation does the n
navik [9.2K]
The nephew would need to use division to isolate x giving him $66.50 to spend
8 0
3 years ago
The value pie/2 is a solution for the equation 2sin^2x-sinx-1=0<br><br> true or false
Rasek [7]

Answer:

Yes, \frac{\pi }{2} is a solution

Step-by-step explanation:

Recall that sin(\frac{\pi }{2})=1. By replacing \frac{\pi }{2} in the given trigonometric equation, we get 0 (zero) as a result, so this value is a solution:

2*(sin(\frac{\pi }{2} ))^2-sin(\frac{\pi }{2})-1= 2*(1)^2-1-1=2-2=0

6 0
3 years ago
What is the perimeter of a rectangle that has a length of 40 Ft and a width of 17 ft?
statuscvo [17]

Answer:

i think 114ft

Step-by-step explanation:

5 0
1 year ago
Read 2 more answers
A vacuum had been marked down by 20% and solf for $250. What was the original price of the vacuum?
igomit [66]

Answer:

The original price was $312.50

Step-by-step explanation:

If the vacuum was marked down by 20%, that means it was sold for 80% of the full price. It was sold for $250, so 80% of the original price is $250.

Let's set up an equation.

80/100 of x = 250

0.8 • x = 250

Divide both sides by 0.8.

x = 312.50

The original price was $312.50

Hope this helps!

7 0
3 years ago
Read 2 more answers
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